Across
- 3. A group of points in a scatter plot that are near each other.
- 4. A single fixed number (unlike a variable, whose value can vary).
- 7. A dilation by a positive number r about a point A is a transformation that moves each other point B along the ray from A that passes through B, and multiplies distances from A by r. A is called the center of the dilation.
- 8. law of addition: For any two numbers a and b, a+b=b+a.
- 9. A number that is raised to a power.
- 11. angles: Two angles that are formed by a transversal and each of the two lines that the transversal intersects, if the angles are in the same position relative to those lines. Usually we only talk about corresponding angles if the two lines are parallel, and in that case corresponding angles will have equal measures. Conversely, if any transversal creates two corresponding angles that are equal in measure, then the two lines are parallel.
- 13. The same shape and size. Two plane figures are congruent if one can be obtained from the other by a rigid motion (a sequence of translations, rotations, and reflections).
- 16. value: The distance a number is from 0.
- 17. The study of mathematical symbols and the rules for manipulating those symbols.
- 21. law of addition: For any three numbers a, b, and c, it is always true that (a+b)+c=a+(b+c).
- 23. The angle ∠ABC consists of the two rays from B that pass through A and C respectively. The spread between the directions of these rays is measured in degrees (°), and this measure is occasionally written m∠ABC, or sometimes ∠ABC, or even ∠B. 360° is a complete revolution.
- 27. The bottom number or expression in a fraction.
- 30. A relationship or pattern linking the values of two variables.
- 31. root: The cube root of a, written 3√a, is the number whose cube is a. That is, (3√a)3=a.
- 32. angle: An angle that measures less than 90°.
- 34. A fractional quantity written with a decimal point (like 0.5).
- 36. A point on a 2-dimensional plane is described by a pair (x,y). The coordinate x is given by the labels below the grid, and the coordinate y is given by the labels to the left of the grid.
- 37. The distance between two points A and B is the length of the line segment AB.
- 41. relative frequency: A joint frequency divided by the total of its row or column in a two-way frequency table.
- 42. function: A function whose output decreases when its input increases.
- 43. an expression: Using the distributive law to turn expressions which need parentheses (like 3(x+2)) into expressions which do not (like 3x+6).
- 44. plane: A 2-dimensional flat surface used for plotting points, lines, curves, and regions. It contains an x and a y axis which intersect at the origin.
- 45. rule: A rule that allows you to tell that two figures are congruent by looking at some of their measurements, such as the Side-Angle-Side (SAS), Angle-Side-Angle (ASA), and Side-Side-Side (SSS) rules for triangles.
Down
- 1. law of multiplication: For two numbers a and b, a(b)=b(a).
- 2. A solid figure formed by taking a flat circular disk and extending it straight up.
- 5. A mathematical sentence with an equals sign (like 3x+5=11).
- 6. A solid figure formed by taking a flat circular disk and extending it up to a single point.
- 10. A way to tell that two triangles are similar, by comparing two angles in each triangle. Two triangles ▵ABC and ▵A′B′C′ are similar when the measures of ∠A and ∠A′ are equal and the measures of ∠B and ∠B′ are equal.
- 12. The distance around an entire figure, such as a circle or a sphere. For a sphere, this means the distance around a circle on the sphere whose center is at the center of the sphere.
- 14. law of multiplication: For any three numbers a, b, and c, it is always true that (a(b))(c)=a(b(c)).
- 15. even: Have a profit of zero (that is, make exactly as much money as you spend).
- 18. A combination of variables and numbers using arithmetic (like 6−x).
- 19. A constant that a variable or expression is multiplied by.
- 20. The distance between two quantities, or the answer to a subtraction problem.
- 22. grid: A grid used to illustrate values of algebraic expressions.
- 24. In a power, the number of times the base is multiplied by itself.
- 25. fit line: When the points on a grid are not all on a straight line, but seem to have a somewhat linear pattern, you can find a line that is the “best fit” (closest) to the points.
- 26. In economics, how much money a company spends to produce a product.
- 28. grid: A grid of lines on a coordinate plane that makes it easy to see (x,y) coordinates of locations in that plane.
- 29. The cube of a number x is x3, which is the volume of a cube whose edges each have length x.
- 33. like terms: Using the distributive law to add any two multiples of an expression such as x. For example, you can simplify 4x+5x into 9x.
- 35. The size of a region in the plane, measured in unit squares (squares with side length 1).
- 38. Two fractions are equivalent if they have the same numerical value. Two equations are equivalent if they have the same solution set.
- 39. A collection of related measurements.
- 40. Cubing a number x means computing the cube of x, namely x3.
- 41. to the Pythagorean Theorem: If a triangle has side lengths a, b and c, and a2+b2=c2, then the triangle is a right triangle and c is the length of the side opposite its right angle.